Home
Class 12
MATHS
The range of the function f(x)=(e^x-e^(|...

The range of the function `f(x)=(e^x-e^(|x|))/(e^x+e^(|x|))` is

A

`R`

B

`[0,1]`

C

`[0,1]`

D

`[0,1/2)`

Text Solution

Verified by Experts

The correct Answer is:
D

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise MATCH THE COLUMN|2 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise INTEGER_TYPE|21 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SUBJECTIVE_TYPE|179 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

The inverse of the function f(x)=(e^x-e^(-x))/(e^x+e^(-x))+2 is given by

The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))

The function f(x) = e^(|x|) is

The function f(x) = e^(|x|) is

The function f(x) =e^(|x|) is

The inverse of the function f:Rto range of f, defined by f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x)) is

Integrate the functions (e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))

Integrate the functions (e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))

Find the range of following functions: y=(e^(x)-e^(-x))/(e^(x)+e^(-x)),xge0

Let f be a real valued function defined by f(x)=(e^x-e^(-|x|))/(e^x+e^(|x|)) , then the range of f(x) is: (a)R (b) [0,1] (c) [0,1) (d) [0,1/2)

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. If q^2 - 4pr =0 , p gt 0 then the domain of the function f(x) = log(p ...

    Text Solution

    |

  2. Let f(x)=(x-[x])/(1+x-[x]),RtoA is onto then find set A. (where {.} an...

    Text Solution

    |

  3. The range of the function f(x)=(e^x-e^(|x|))/(e^x+e^(|x|)) is

    Text Solution

    |

  4. Range of the function f(x)=log (sqrt2)(2-log(2)(16 sin ^(2)x +1)) is:

    Text Solution

    |

  5. Which of the following pair of functions are identical ?

    Text Solution

    |

  6. If domain of f(x) is(-oo,0), then domain of f(6{x}^2-5(x)+ 1) is (wher...

    Text Solution

    |

  7. Let f: (e, oo) -> R be defined by f(x) =ln(ln(In x)), then

    Text Solution

    |

  8. If f(x) =2 [x]+ cos x, then f: R ->R is: (where [ ] denotes greatest ...

    Text Solution

    |

  9. If f:R to R, f(x) ={(x|x|-4", "x in Q),(x|x|-sqrt(3)", "x notin Q...

    Text Solution

    |

  10. f(x) = |x-1|, f: R^+->R, g(x) = e^x, g:[-1,oo)->R. If the function fog...

    Text Solution

    |

  11. Let f:(2,4)->(1,3) where f(x) = x-[x/2] (where [.] denotes the greates...

    Text Solution

    |

  12. Find the condition so that the function f(x)=x^(3)+ax^(2)+bx+c is an i...

    Text Solution

    |

  13. If the function f:[1,\ oo)->[1,\ oo) defined by f(x)=2^(x(x-1)) is inv...

    Text Solution

    |

  14. f:N to N, where f(x)=x-(-1)^(x), Then f is

    Text Solution

    |

  15. tan ((pi)/(4) + (1)/(2) cos^(-1) x) + tan ((pi)/(4) - (1)/(2) cos^(-1)...

    Text Solution

    |

  16. The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1...

    Text Solution

    |

  17. The domain of the function f (x) = sin^(-1)((1+x^3)/(2x^(3/2)))+sqrt(s...

    Text Solution

    |

  18. A function g(x) satisfies the following conditions (i) Domain of g i...

    Text Solution

    |

  19. The complete solution set of the inequality [cot^(-1)x]^2-6[cot^(-1)x]...

    Text Solution

    |

  20. sin^-1(sin 5)> x^2-4 x holds if

    Text Solution

    |